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Stability and determinacy conditions for mixed-type functional differential equations

Hippolyte d'Albis (), Emmanuelle Augeraud-Véron () and Hermen Jan Hupkes
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Hermen Jan Hupkes: Mathematical institute - Universiteit Leiden [Leiden]

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: This paper analyzes the solution of linear mixed-type functional differential equations with either predetermined or non-predetermined variables. Conditions characterizing the existence and uniqueness of a solution are given and related to the local stability and determinacy properties of the steady state. In particular, it is shown that the relationship between the uniqueness of the solution and the stability of the steady-state is more subtle than the one that holds for ordinary differential equations, and gives rise to new dynamic configurations.

Keywords: functional differential equations; local dynamics; existence; determinacy (search for similar items in EconPapers)
Date: 2014-08
Note: View the original document on HAL open archive server: https://hal.archives-ouvertes.fr/hal-01162232
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Published in Journal of Mathematical Economics, Elsevier, 2014, 53, pp.119-129. ⟨10.1016/j.jmateco.2014.06.008⟩

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